The probability of rolling an odd number or a number that is less than 6 is 5/12
Probability is the likelihood of the occurrence of an event and is the ratio of the number of favorable outcomes to the total number of outcomes of an event.
The sample space or possible outcomes when rolling a die is S = {1, 2, 3, 4, 5, 6}
We can say, n(S) = 6
Consider X as an event of getting an odd number
X = {1, 3, 5}
n (X) = 3
So P (X) = n(X)/ n(S)
By substituting the values,
P(X) = 3/6 = 1/2
Consider Y as an event of getting a number less than 6
Y = {1, 2, 3, 4, 5}
n (Y) = 5
So P (Y) = n(Y)/ n(S)
Substituting the values
P(Y) = 5/6
The probability of rolling an odd number or a number less than 6 = 1/2 × 5/6 = 5/12
Hence, the probability of rolling an odd number or a number less than 6 is 5/12.
Learn more about the probability of dice:
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